46ae64cd60
This reverts commit e00426c512.
The way we handle platform-specific intrinsics is not good, so the
current state will not compile on armv8. This commit also requires
SSE4.1 support, which is likely not a good idea for portable binaries.
We'll have to redo this with more caution after 3.2 is released, or
we might simply drop opus as we're only using it as dependency for
theora right now.
Fixes #33606.
207 lines
9.9 KiB
C
207 lines
9.9 KiB
C
/***********************************************************************
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Copyright (c) 2006-2011, Skype Limited. All rights reserved.
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Redistribution and use in source and binary forms, with or without
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modification, are permitted provided that the following conditions
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are met:
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- Redistributions of source code must retain the above copyright notice,
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this list of conditions and the following disclaimer.
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- Redistributions in binary form must reproduce the above copyright
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notice, this list of conditions and the following disclaimer in the
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documentation and/or other materials provided with the distribution.
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- Neither the name of Internet Society, IETF or IETF Trust, nor the
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names of specific contributors, may be used to endorse or promote
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products derived from this software without specific prior written
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permission.
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THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS"
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AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
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IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
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ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE
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LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR
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CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF
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SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS
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INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN
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CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
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ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
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POSSIBILITY OF SUCH DAMAGE.
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***********************************************************************/
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#ifdef HAVE_CONFIG_H
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#include "config.h"
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#endif
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#include "main_FLP.h"
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#include "tuning_parameters.h"
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/**********************************************************************
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* LDL Factorisation. Finds the upper triangular matrix L and the diagonal
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* Matrix D (only the diagonal elements returned in a vector)such that
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* the symmetric matric A is given by A = L*D*L'.
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**********************************************************************/
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static OPUS_INLINE void silk_LDL_FLP(
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silk_float *A, /* I/O Pointer to Symetric Square Matrix */
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opus_int M, /* I Size of Matrix */
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silk_float *L, /* I/O Pointer to Square Upper triangular Matrix */
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silk_float *Dinv /* I/O Pointer to vector holding the inverse diagonal elements of D */
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);
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/**********************************************************************
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* Function to solve linear equation Ax = b, when A is a MxM lower
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* triangular matrix, with ones on the diagonal.
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**********************************************************************/
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static OPUS_INLINE void silk_SolveWithLowerTriangularWdiagOnes_FLP(
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const silk_float *L, /* I Pointer to Lower Triangular Matrix */
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opus_int M, /* I Dim of Matrix equation */
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const silk_float *b, /* I b Vector */
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silk_float *x /* O x Vector */
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);
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/**********************************************************************
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* Function to solve linear equation (A^T)x = b, when A is a MxM lower
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* triangular, with ones on the diagonal. (ie then A^T is upper triangular)
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**********************************************************************/
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static OPUS_INLINE void silk_SolveWithUpperTriangularFromLowerWdiagOnes_FLP(
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const silk_float *L, /* I Pointer to Lower Triangular Matrix */
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opus_int M, /* I Dim of Matrix equation */
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const silk_float *b, /* I b Vector */
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silk_float *x /* O x Vector */
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);
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/**********************************************************************
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* Function to solve linear equation Ax = b, when A is a MxM
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* symmetric square matrix - using LDL factorisation
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**********************************************************************/
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void silk_solve_LDL_FLP(
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silk_float *A, /* I/O Symmetric square matrix, out: reg. */
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const opus_int M, /* I Size of matrix */
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const silk_float *b, /* I Pointer to b vector */
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silk_float *x /* O Pointer to x solution vector */
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)
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{
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opus_int i;
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silk_float L[ MAX_MATRIX_SIZE ][ MAX_MATRIX_SIZE ];
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silk_float T[ MAX_MATRIX_SIZE ];
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silk_float Dinv[ MAX_MATRIX_SIZE ]; /* inverse diagonal elements of D*/
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silk_assert( M <= MAX_MATRIX_SIZE );
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/***************************************************
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Factorize A by LDL such that A = L*D*(L^T),
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where L is lower triangular with ones on diagonal
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****************************************************/
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silk_LDL_FLP( A, M, &L[ 0 ][ 0 ], Dinv );
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/****************************************************
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* substitute D*(L^T) = T. ie:
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L*D*(L^T)*x = b => L*T = b <=> T = inv(L)*b
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******************************************************/
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silk_SolveWithLowerTriangularWdiagOnes_FLP( &L[ 0 ][ 0 ], M, b, T );
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/****************************************************
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D*(L^T)*x = T <=> (L^T)*x = inv(D)*T, because D is
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diagonal just multiply with 1/d_i
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****************************************************/
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for( i = 0; i < M; i++ ) {
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T[ i ] = T[ i ] * Dinv[ i ];
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}
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/****************************************************
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x = inv(L') * inv(D) * T
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*****************************************************/
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silk_SolveWithUpperTriangularFromLowerWdiagOnes_FLP( &L[ 0 ][ 0 ], M, T, x );
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}
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static OPUS_INLINE void silk_SolveWithUpperTriangularFromLowerWdiagOnes_FLP(
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const silk_float *L, /* I Pointer to Lower Triangular Matrix */
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opus_int M, /* I Dim of Matrix equation */
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const silk_float *b, /* I b Vector */
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silk_float *x /* O x Vector */
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)
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{
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opus_int i, j;
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silk_float temp;
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const silk_float *ptr1;
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for( i = M - 1; i >= 0; i-- ) {
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ptr1 = matrix_adr( L, 0, i, M );
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temp = 0;
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for( j = M - 1; j > i ; j-- ) {
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temp += ptr1[ j * M ] * x[ j ];
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}
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temp = b[ i ] - temp;
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x[ i ] = temp;
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}
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}
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static OPUS_INLINE void silk_SolveWithLowerTriangularWdiagOnes_FLP(
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const silk_float *L, /* I Pointer to Lower Triangular Matrix */
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opus_int M, /* I Dim of Matrix equation */
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const silk_float *b, /* I b Vector */
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silk_float *x /* O x Vector */
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)
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{
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opus_int i, j;
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silk_float temp;
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const silk_float *ptr1;
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for( i = 0; i < M; i++ ) {
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ptr1 = matrix_adr( L, i, 0, M );
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temp = 0;
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for( j = 0; j < i; j++ ) {
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temp += ptr1[ j ] * x[ j ];
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}
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temp = b[ i ] - temp;
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x[ i ] = temp;
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}
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}
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static OPUS_INLINE void silk_LDL_FLP(
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silk_float *A, /* I/O Pointer to Symetric Square Matrix */
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opus_int M, /* I Size of Matrix */
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silk_float *L, /* I/O Pointer to Square Upper triangular Matrix */
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silk_float *Dinv /* I/O Pointer to vector holding the inverse diagonal elements of D */
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)
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{
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opus_int i, j, k, loop_count, err = 1;
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silk_float *ptr1, *ptr2;
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double temp, diag_min_value;
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silk_float v[ MAX_MATRIX_SIZE ], D[ MAX_MATRIX_SIZE ]; /* temp arrays*/
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silk_assert( M <= MAX_MATRIX_SIZE );
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diag_min_value = FIND_LTP_COND_FAC * 0.5f * ( A[ 0 ] + A[ M * M - 1 ] );
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for( loop_count = 0; loop_count < M && err == 1; loop_count++ ) {
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err = 0;
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for( j = 0; j < M; j++ ) {
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ptr1 = matrix_adr( L, j, 0, M );
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temp = matrix_ptr( A, j, j, M ); /* element in row j column j*/
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for( i = 0; i < j; i++ ) {
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v[ i ] = ptr1[ i ] * D[ i ];
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temp -= ptr1[ i ] * v[ i ];
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}
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if( temp < diag_min_value ) {
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/* Badly conditioned matrix: add white noise and run again */
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temp = ( loop_count + 1 ) * diag_min_value - temp;
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for( i = 0; i < M; i++ ) {
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matrix_ptr( A, i, i, M ) += ( silk_float )temp;
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}
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err = 1;
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break;
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}
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D[ j ] = ( silk_float )temp;
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Dinv[ j ] = ( silk_float )( 1.0f / temp );
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matrix_ptr( L, j, j, M ) = 1.0f;
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ptr1 = matrix_adr( A, j, 0, M );
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ptr2 = matrix_adr( L, j + 1, 0, M);
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for( i = j + 1; i < M; i++ ) {
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temp = 0.0;
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for( k = 0; k < j; k++ ) {
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temp += ptr2[ k ] * v[ k ];
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}
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matrix_ptr( L, i, j, M ) = ( silk_float )( ( ptr1[ i ] - temp ) * Dinv[ j ] );
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ptr2 += M; /* go to next column*/
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}
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}
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}
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silk_assert( err == 0 );
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}
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